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Which of the following expressions correctly represents the expansion of \((a+b)^2\)?
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Answer and explanation
Correct answer: \(a^2+2ab+b^2\)
Since \((a+b)^2=(a+b)(a+b)\), multiplication gives \(a^2+ab+ab+b^2=a^2+2ab+b^2\). Option B is the expansion of \((a-b)^2\). Exam tip: the middle term is always \(2ab\).
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What is the correct answer to this question?
\(a^2+2ab+b^2\)
Why is this the correct answer?
Since \((a+b)^2=(a+b)(a+b)\), multiplication gives \(a^2+ab+ab+b^2=a^2+2ab+b^2\). Option B is the expansion of \((a-b)^2\). Exam tip: the middle term is always \(2ab\).
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Algebraic identities.
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